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111020101120 = 295241179947
BaseRepresentation
bin110011101100101010…
…0000100111000000000
3101121120011220111001001
41213121110010320000
53304332121213440
6123000230021344
711010116201125
oct1473124047000
9347504814031
10111020101120
11430a0a53195
12196244a7854
13a613954536
14553288474c
152d4b949b9a
hex19d9504e00

111020101120 has 80 divisors (see below), whose sum is σ = 267294039408. Its totient is φ = 44223528960.

The previous prime is 111020101109. The next prime is 111020101133. The reversal of 111020101120 is 21101020111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 111020101097 and 111020101106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526987 + ... + 706933.

Almost surely, 2111020101120 is an apocalyptic number.

111020101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111020101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133647019704).

111020101120 is an abundant number, since it is smaller than the sum of its proper divisors (156273938288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111020101120 is an equidigital number, since it uses as much as digits as its factorization.

111020101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180211 (or 180195 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111020101120 its reverse (21101020111), we get a palindrome (132121121231).

The spelling of 111020101120 in words is "one hundred eleven billion, twenty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 241 256 320 482 512 640 964 1205 1280 1928 2410 2560 3856 4820 7712 9640 15424 19280 30848 38560 61696 77120 123392 154240 179947 308480 359894 616960 719788 899735 1439576 1799470 2879152 3598940 5758304 7197880 11516608 14395760 23033216 28791520 43367227 46066432 57583040 86734454 92132864 115166080 173468908 216836135 230332160 346937816 433672270 460664320 693875632 867344540 1387751264 1734689080 2775502528 3469378160 5551005056 6938756320 11102010112 13877512640 22204020224 27755025280 55510050560 111020101120